Theoretical strategy for temporal logic and encoding function based on anisotropic photonic time crystals

In this Letter, a configuration based on anisotropic photonic time crystals (APTCs) that implements a 2-bit binary encoder and logical operations is proposed. By exploiting the angle-sensitive wave amplification effect in APTCs, a tunable angle magnification window (AMW) is formed in the angular domain. Adjusting the parameters of the two temporal slabs of the APTC enables the positional shift of the AMW while maintaining its peak amplitude. Based on this physical mechanism, NOR and AND logic functions and a 2-bit binary encoder can be configured by detecting changes of transmittance in defined regions under four input combinations. A phase-encryption system is constructed using the APTC encoder and logic device. The accuracy of the results is verified through numerical simulations employing the transfer matrix method and the finite-difference time-domain method. The approach based on APTCs facilitates parallel implementation of encoding structures and logic design, providing a platform for photonic logic devices and information encryption technologies.